470526664608 has 960 divisors, whose sum is σ = 1896407251200. Its totient is φ = 112783104000.

The previous prime is 470526664607. The next prime is 470526664667. The reversal of 470526664608 is 806466625074.

470526664608 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (470526664603) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 127133158 + ... + 127136858.

It is an arithmetic number, because the mean of its divisors is an integer number (1975424220).

Almost surely, 2^470526664608 is an apocalyptic number.

470526664608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470526664608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948203625600).

470526664608 is an abundant number, since it is smaller than the sum of its proper divisors (1425880586592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470526664608 is a wasteful number, since it uses less digits than its factorization.

470526664608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 470526664608 in words is "four hundred seventy billion, five hundred twenty-six million, six hundred sixty-four thousand, six hundred eight".